Theta functions on T2-bundles over T2 with the zero Euler class
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- Egorov, D.V. Sib Math J (2009) 50: 647. doi:10.1007/s11202-009-0072-x
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We construct an analog of the classical theta function on an abelian variety for the closed 4-dimensional symplectic manifolds that are T2-bundles over T2 with the zero Euler class. We use our theta functions for a canonical symplectic embedding of these manifolds into complex projective spaces (an analog of the Lefschetz theorem).